Andrew Odlyzko is a colleague of mine at the University of Minnesota and
I have known him since I taught a graduate course on Class Field Theory
in the early 1970's at MIT. I have never discussed with him whether he
believes RH to be true or false. The quoted statements from
Derbyshire's book. lead me to surmise that Odlyzko does not believe that
RH is independent of the axioms of ZFC.
Concerning what Gelfand said, as I reported in my last post, he
certainly gave no indication that he thought RH was independent or that
he was trying to prove that it was. He was simply raising it as a
possibility that could not be dismissed out of hand.
William Messing